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A New Expanded Method for Solving Nonlinear Differential-difference Equation 被引量：1

A New Expanded Method for Solving Nonlinear Differential-difference Equation
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摘要 A new expanded approach is presented to find exact solutions of nonlinear differential-difference equations. As its application, the soliton solutions and periodic solutions of a lattice equation are obtained. A new expanded approach is presented to find exact solutions of nonlinear differential-difference equations. As its application, the soliton solutions and periodic solutions of a lattice equation are obtained.
作者 张善卿
机构地区 Department of Mathematics
出处 《Journal of Shanghai Jiaotong university(Science)》 EI 2008年第4期509-512,共4页 上海交通大学学报（英文版）
基金 the National Natural Science Foundation of China (No. 60773119)
关键词 非线性偏微方程式 符号计算 求解方法 数学 differential-difference equation exact solution symbolic computation
分类号 O175.29 [理学—基础数学]
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参考文献11

  • 1张善卿,李志斌.非线性耦合Schrdinger-KdV方程组新的精确解析解[J].物理学报,2002,51(10):2197-2201. 被引量：12
  • 2Mal-iet W,Hereman W.The tanh method: I. exact solutions of nonlinear evolution and wave equations[].Physica Scripta.1996
  • 3Mal-iet W,Hereman W.The tanh method: II. perturbation technique for conservative systems[].Physica Scripta.1996
  • 4Li Z B,Zhang S Q.Symbolic computation to exact solutions of nonlinear wave equation[].Acta Mathe- matica Scientia.1997
  • 5Li Z B,Liu Y P.Rath: a maple package for finding traveling solitary wave solutions to nonlinear evolution equations[].Computers in Physics.2002
  • 6Liu Y P,Li Z B.A Maple package for finding exact solitary wave solutions of coupled nonlinear evolution equations[].Computers in Physics.2003
  • 7Xie F D,Wang J Q.A new method for solving nonlin- ear di-erential-di-erence equation[].Chaos Soltions & Fractals.2006
  • 8Liu S K,Fu Z T,Liu S D,,Zhao Q.Jacobi elliptic function expansion method and periodic wave solutions of nonlinearwave equations[].Physics Letters A.2001
  • 9Liu S K,Fu Z T,Liu S D,and Zhao Q.NewJacobi elliptic function expansion and newperiodic solutions of nonlinearwave equations[].Physics Letters.2001
  • 10Malfliet,M.Solitary wave solutions of nonlinear wave equations[].American Journal of Physics.1992

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Journal of Shanghai Jiaotong university(Science)
2008年 第4期

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